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Finding the Third Proportional to 4,777.10 and 10,134.49

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Solution

The third proportional to 4,777.10 and 10,134.49 is: 21,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.10 : 10,134.49 = 10,134.49 : x
  2. Step 2: Convert to fraction form
    4,777.10/10,134.49 = 10,134.49/x
  3. Step 3: Cross multiply
    4,777.10x = 10,134.49 × 10,134.49
  4. Step 4: Simplify right side
    4,777.10x = 102,707,931.90
  5. Step 5: Solve for x
    x = 102,707,931.90/4,777.10
  6. Step 6: Final answer
    x = 21,500.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.